对偶空间

Hp（Bn）（0＜p＜1）的对偶空间已经被很多位作者研究过。

The dual space of Hp ( B ) for 0 < p < 1 has been studied by several authors .

SVM最终归结为一个凸优化问题，它的解是在其对偶空间求取的，是全局最优的。

SVM 's solutions are characterized by convex quadratic optimization problems , which are typically solved in dual space .

双Stone格对偶空间的构造

The Construction of Dual Spaces of Double Stone Lattices

Banach序列空间Vp及其对偶空间

Banach Sequence Spaces V_p and It 's Dual Spaces

借助Stone代数的对偶空间的性质，考察了Stone代数的同余可换性。

In this paper the author characterizes congruence permutable Stone algebras by means of dual space theory of Stone algebras .

Banach空间的强光滑性及对偶空间的严格凸性

On the Strong Smoothness of Banach Spaces and the Strict Convexity of the Dual Spaces

（op）型空间的对偶空间

Dual Space of ( op ) - Type Spaces

Orlicz空间的对偶空间也是一类重要的Banach空间。

The dual space of Orlicz space is also an important class of Banach spaces .

本文以自然的方式定义了从Z-空间X到Z-空间Y的有界线性算子的和以及它们的数乘.从而得到了与赋范空间的对偶空间理论类似的一系列结论。

Bounded linear operators from one Z-space X to another Y are defined naturally , and some results which approximates to the dual spaces theory of normed spaces are obtained .

在对偶空间E可分的Banach空间E中，利用弱耗散型条件，给出了微分方程Cauchy问题弱解的局部存在定理。

In a Banach space E whose dual space E is separable , we give the local existence of weak solutions of Cauchy problems for differential equations .

利用原子分解的方法，刻划了外正则区域上局部Hardy空间的对偶空间。

By means of the atomic decomposition , the dual theorem of the local Hardy space on the exterior regular domains in Rn was characterized .

本文对赋p-Amemiya范数Orlicz空间的对偶空间，局部凸性，和H性质进行了一些研究。

Locally convexity , H property and the dual spaces of Orlicz spaces equipped with the p-Amemiya norm are studied .

如果（Ω，∑，μ）是σ~-有限正测度空间，μ是纯原子测度且x同构于一个对偶空间，则l1（μ，x）同构于一个对偶空间。

If (Ω,Σ,μ) is a Positive o-finite measure space ,μ is Purely atomic and X isomorphic to a dual space , then L_1 (μ, X ) isomorphic to a dual space .

2°自反Banach空间到拓扑对偶空间的单调凸集值映射，当有效域为全空间时，必为单值的。

This result shows that a monotone mapping with convex values on a reflexive Banach space is a single valued mapping , if its domain is the whole dual space .

令E为实光滑、一致凸Banach空间，E为其对偶空间，AE×E为极大单调算子且A-10≠Φ。

Let E be a real smooth and uniformly convex Banach space with E its duality space . Let AE × E be a maximal monotone operator with A - 1 0 ≠Φ .

本论文主要讨论小指标混合范数空间的对偶空间及它上面Bergman型算子的有界性。

This dissertation will deal with the dual spaces and boundedness of the Bergman type operator on mixed norm spaces , mainly with small exponent .

本文建立了加权Lebesgue空间的对偶空间，并且给出了在这些空间之间嵌入的必要条件。

In this paper , dual spaces of weighted Lebesgue spaces are constructed and the necessary condition on the imbeddings in these spaces is established .

建立核空间的对偶空间上的时齐Wiener过程的Ito公式，并给出核空间的对偶空间上的随机微分方程解的估计。

Formula It of inhomogenous Wiener Process in dual of a nuclear space is established , and the estimation of solution of stochastic differential equations in dual of nuclear space is given out .

我们解释了无法得到BMOδ是Hδ~1的对偶空间以及类似于John-Nirenberg不等式的理想结果的原因。

We explain why we cannot obtain the ideal results that the BMO_ δ space is the dual space of the H_ δ ~ 1 space and the inequality is similar to John-Nirenberg inequality .

在一定条件下给出了Orlicz序列空间及其对偶空间非方常数之间的关系，利用相关结果可对更广泛的空间类的非方常数进行表示，估计及高精确度的近似计算。

The relationship of nonsquare constant between Orlicz sequence spaces and utilizing relevant result is given , holding the representation , estimation and high-exact similar computation of nonsquare constant in move extensive space type .

对偶空间上的弱~连续算子半群

WEAK ~ CONTINUOUS OPERATOR SEMIGROUPS ON DUAL SPACE Dual Images Dual Hypergroups

核空间的对偶空间值随机微分方程组解的收敛性

Convergence of Solution of Stochastic Differential Equation in Dual of Nuclear Space

拟桶式空间的强对偶空间值的向量测度

Vector Measures with Values in the Strong Dual of a Quasi-barreled Space

有理模及其对偶空间的最大有理子模

Rational Module and Maximal Rational Submodule of Its Dual Space

可分对偶空间微分方程弱解的局部存在性

Local existence of weak solutions for differential equations with a separable dual space

赋范线性空间的第二对偶空间

The Second Duals of the Normed Linear Spaces

对偶空间上凸函数的逼近

Approximation of Convex Functions on the Dual Spaces

对偶空间中的普适计算

Ubiquitous / Pervasive Computing in Physical-Information Dual Space

解决了对偶空间问题。

We solve the problem of duality spaces .

辛空间与其对偶空间

The Symplectic Space And Its Dual Space